Complex Fractions Practice Test
20 varied complex-fraction questions with worked explanations.
Clear inner denominators, use reciprocals correctly, simplify rational expressions, and track excluded values.
20 varied complex-fraction questions with worked explanations.
A complex fraction contains one or more fractions in its numerator, denominator, or both. This test practices two reliable strategies: multiply by the reciprocal when the large fraction is a direct quotient, or multiply the entire numerator and denominator by the least common denominator of the smaller fractions.
Questions include numerical nested fractions, rational expressions with common factors, sums and differences inside the large fraction, domain restrictions, evaluation at given values, and short equations. Original restrictions are retained even when factors later cancel.
You will invert divisors, clear denominators with an LCD, factor and cancel, simplify expressions with two variables, identify excluded values, evaluate complex fractions, and solve simple equations involving nested fractions.
Frequent errors include inverting the wrong fraction, multiplying only part of the numerator by the LCD, canceling terms across addition, losing a sign in a difference, overlooking values that make an inner or outer denominator zero, and stopping before reducing a common factor.
Use this free 20-question test for Algebra 2, rational-expression review, college placement preparation, tutoring, or independent practice.